x^2/2-2x=1/4

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Solution for x^2/2-2x=1/4 equation: 


x in (-oo:+oo)

(x^2)/2-(2*x) = 1/4 // - 1/4

(x^2)/2-(2*x)-(1/4) = 0

(x^2)/2-2*x-1/4 = 0

1/2*x^2-2*x-1/4 = 0

DELTA = (-2)^2-(-1/4*1/2*4)

DELTA = 9/2

DELTA > 0

x = ((9/2)^(1/2)+2)/(1/2*2) or x = (2-(9/2)^(1/2))/(1/2*2)

x = (9/2)^(1/2)+2 or x = 2-(9/2)^(1/2)

x in { 2-(9/2)^(1/2), (9/2)^(1/2)+2 }

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